Finding the Third Proportional to 16,776 and 23,184

Step by Step Solution

1. Step 1: Write the proportion equation
   16,776 : 23,184 = 23,184 : x
2. Step 2: Convert to fraction form
   16,776/23,184 = 23,184/x
3. Step 3: Cross multiply
   16,776x = 23,184 × 23,184
4. Step 4: Simplify right side
   16,776x = 537,497,856
5. Step 5: Solve for x
   x = 537,497,856/16,776
6. Step 6: Final answer
   x = 32,039.69